   Chapter 9.1, Problem 23E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding Expected Value, Variance, and Standard Deviation In Exercises 23-26, find the expected value, variance, and standard deviation for the given probability distribution. See Examples 4, 5, and 6. x 1 2 3 4 5 P ( x ) 1 16 3 16 8 16 3 16 1 16

To determine

To calculate: The expected value, variance and standard deviation of lying probability distribution.

 x 1 2 3 4 5 P(x) 116 316 816 316 116
Explanation

Given Information:

The provided probability distribution:

 x 1 2 3 4 5 P(x) 116 316 816 316 116

Formula used:

Expected value:

E(x)=x1P(x1)+x2P(x2)........+xnP(xn)E(x)=k=1nxkP(xk)=μ(mean)

Variance:

V(x)=(x1μ)2P(x1)+(x2μ)2P(x2)........+(xnμ)2P(xn)V(x)=k=1n(xkμ)2P(xk)

Standard deviation:

σ=V(x)

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